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20100200010 = 23511478811471
BaseRepresentation
bin10010101110000100…
…001011011001001010
31220212211001221211020
4102232010023121022
5312131122400020
613122305013310
71311046611132
oct225604133112
956784057736
1020100200010
118585047850
123a8b624236
131b8438b497
14d89729ac2
157c995ec40
hex4ae10b64a

20100200010 has 128 divisors (see below), whose sum is σ = 53843263488. Its totient is φ = 4760448000.

The previous prime is 20100200009. The next prime is 20100200011. The reversal of 20100200010 is 1000200102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20100200009) and next prime (20100200011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (20100200011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13663575 + ... + 13665045.

It is an arithmetic number, because the mean of its divisors is an integer number (420650496).

Almost surely, 220100200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26921631744).

20100200010 is an abundant number, since it is smaller than the sum of its proper divisors (33743063478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20100200010 is a wasteful number, since it uses less digits than its factorization.

20100200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20100200010 its reverse (1000200102), we get a palindrome (21100400112).

The spelling of 20100200010 in words is "twenty billion, one hundred million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 881 1034 1410 1471 1551 1762 2585 2643 2942 3102 4405 4413 5170 5286 7355 7755 8810 8826 9691 13215 14710 15510 16181 19382 22065 26430 29073 32362 41407 44130 48455 48543 58146 69137 80905 82814 96910 97086 124221 138274 145365 161810 207035 207411 242715 248442 290730 345685 414070 414822 455477 485430 621105 691370 760507 910954 1037055 1242210 1295951 1366431 1521014 2074110 2277385 2281521 2591902 2732862 3802535 3887853 4554770 4563042 6479755 6832155 7605070 7775706 11407605 12959510 13664310 14255461 19439265 22815210 28510922 38878530 42766383 60909697 71277305 85532766 121819394 142554610 182729091 213831915 304548485 365458182 427663830 609096970 670006667 913645455 1340013334 1827290910 2010020001 3350033335 4020040002 6700066670 10050100005 20100200010